Greatest Common Factor of 259/40, 698/96, 370/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 259/40, 698/96, 370/22

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 259/40,698/96,370/22

Given fractions are 259/40,698/96,370/22

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 259,698,370

Greatest Common Factor of Numerators i.e. GCF of 259,698,370 is 1 .

LCM of Denominators means LCM of 40,96,22 as per the given fractions.

LCM of 40,96,22 is 5280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 259,698,370

GCF of Fractions 259/40,698/96,370/22 is 1/5280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 259,698,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,698,370 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 259,698,370 . The biggest common factor number is the GCF number.
So the greatest common factor 259,698,370 is 1.

Lets's calculate LCM of 40,96,22

2 40, 96, 22
2 20, 48, 11
2 10, 24, 11
5, 12, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 11 = 5280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5280

Therefore, the GCF of Fractions 259/40,698/96,370/22 is 1/5280

Least Common Multiple of 40,96,22 with GCF Formula

Least Common Multiple of 40,96,22 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,96,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,96,22) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(40,96,22) x common factors =2 x 8 = 16

LCM(40,96,22) = ( 40 × 96 × 22 ) / 16

LCM(40,96,22) = 84480 / 16

LCM(40,96,22) = 5280


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 259/40, 698/96, 370/22

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 259/40, 698/96, 370/22?

Answer: GCF of Numerators as per given numbers 259/40, 698/96, 370/22 is

GCF of Numerators i.e. for 259,698,370 is 1

LCM of denominators i.e. for 40,96,22 is 5280.

Thus, GCF of Fractions is 1/5280.Finally, GCF of Fractions for 259/40, 698/96, 370/22 is 1/5280.